λ
Sigma Notebook

134,550

2 × 32 × 52 × 13 × 23
Abundant Even Composite

134,550 is even and not a perfect square. Its factorization is 2 × 3^2 × 5^2 × 13 × 23 and its 72 divisors sum to 406,224.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 13 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 406,224
Proper Divisor Sum 271,674
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #134513 ← → #134581

Radix Representation

Decimal 134550
Binary 100000110110010110 (18 bits)
Octal 0o406626
Hexadecimal 0x20D96

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 13 15 18 23 25 26 30 39 45 46 50 65 69 75 78 90 115 117 130 138 150 195 207 225 230 234 299 325 345 390 414 450 575 585 598 650 690 897 975 1,035 1,150 1,170 1,495 1,725 1,794 1,950 2,070 2,691 2,925 2,990 3,450 4,485 5,175

Collatz Trajectory (113 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

134,550 67,275 201,826 100,913 302,740 151,370 75,685 227,056 113,528 56,764 28,382 14,191 42,574 21,287 63,862 31,931 95,794 47,897 143,692 71,846 35,923 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604 102,302 51,151 153,454 76,727 230,182 115,091 345,274 172,637 517,912 258,956 129,478 64,739 194,218 97,109 291,328 145,664 72,832 36,416 18,208 9,104 4,552 2,276 1,138 569 1,708 854

More profiles

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